“Chern bands in twisted transition metal dichalcogenides: Hofstadter spectra and real-space textures”
Twisted transition metal dichalcogenide bilayers feature topological flat bands at zero magnetic field, allowing the experimental observation of integer and fractional quantum anomalous Hall effects.
In the first part of this talk, we present our study of the band structures of these systems under externally applied magnetic field. We find that the effect of external magnetic field is most dramatic when it “cancels” the effective field arising due to the band topology. For models that feature Landau level-like bands at zero magnetic field, we uncover re-entrant nearly parabolic bands at finite flux, providing a natural interpretation of the zero field bands as Landau levels of these parabolic bands.
In the second part of this talk, we discuss the surprising behavior of the real-space textures in these materials and beyond.
Host: Meng Cheng